Numerical Simulation by Galerkin Method of 2D Nonlinear Convection-Diffusion

Claudia Narumi Takayama Mori; Estaner Claro Romao

doi:https://doi.org/10.14445/22315373/IJMTT-V46P509

International Journal of Mathematics Trends and Technology

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Volume 46 | Number 1 | Year 2017 | Article Id. IJMTT-V46P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V46P509

Numerical Simulation by Galerkin Method of 2D Nonlinear Convection-Diffusion

Claudia Narumi Takayama Mori, Estaner Claro Romao

Abstract

The objective of this paper is to numerically solve a 2D Transient Nonlinear Convection-Diffusion Equation using the Galerkin Method. For numerical formulation, the Crank-Nicolson Method was used for temporal discretization, the Newton Method for linearization of the nonlinear terms, the Galerkin Method for spatial discretization and the Finite Differences Method for calculating the derivatives. Finally, to analyze the results obtained in the applications presented in this work the L∞ norm was used from the comparison with exact solutions.

Keywords

Nonlinear Convection-Diffusion, Galerkin Method, Newton Method, Numerical Simulation.

References

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Citation :

Claudia Narumi Takayama Mori, Estaner Claro Romao, "Numerical Simulation by Galerkin Method of 2D Nonlinear Convection-Diffusion," International Journal of Mathematics Trends and Technology (IJMTT), vol. 46, no. 1, pp. 43-49, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V46P509